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3 years ago

Solve for

Mathematics

1 answer:

Alenkinab [10]3 years ago

8 0

Answer:

Step-by-step explanation:

6h=18

6÷6=1

18÷6=3

1h=3 bushels

1:3

24÷3=8

1×8=8

8:24

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Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

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<h3>Answer: c = 7/4</h3>

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Work Shown:

Compute the function value at the endpoints

$f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\$

With a = -5 and b = 4, we have

$f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\$

So,

$f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\$

Use algebra to solve for c

$-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\$

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3 years ago

What is the simplified expression for...

MissTica

Answer:

3^2

Step-by-step explanation:

=3^3+3/3^4

=3^6/3^4

=3^6-4

=<u>3^2</u>

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3 years ago

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AB<br> C D<br> E<br> F +3<br> x2 -3x -18

madam [21]

Answer:

(x + 3) ( x - 6)

Step-by-step explanation:

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x² - 6x + 3x - 18

x(x - 6) + 3(x - 6)

(x + 3) ( x - 6)

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3 years ago

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